Localized Components Analysis(9)

Abstract. We introduce Localized Components Analysis (LoCA) for describing surface shape variation in an ensemble of biomedical objects using a linear subspace of spatially localized shape components. In contrast to earlier methods, LoCA optimizes explicit

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Fig.6.Cranialbasiscomparison,coloredbydisplacementmagnitude.BothS-PCAandICAproducevectorsthatmovesingleteeth,whileLoCAhasvectorsthatmovetheentirejawatonce.ThesideviewsofvectorsAandBdi erentiatetheire ects:Arepresentsprognathism(snoutelongation),whileBrepresentsfacialkyphosis(teethstraightening).Notethatsincethecraniaareshownfromasingleangle,vectorsrep-resentingmotiononthebottomofthecraniumappearcompletelywhite.